Triangle abc undergoes a series of transformations to result in triangle df is triangle def congruent to triangle abc

Since, translation and rotation both are rigid transformations which maps only congruent images. They do not change the size and shape of pre-image.

Thus, here ΔABC is congruent to ΔDEF.

Since, translation and reflection both are rigid transformations which maps only congruent images. They do not change the size and shape of pre-image.

Thus, here ΔABC is congruent to ΔDEF.

Here rotation is a rigid transformation which maps only congruent images but dilation is not a rigid transformation because it produces similar images for scale factor other than 1 (with scale factor 1 it also produce congruent images) .

Thus, here ΔABC is not congruent to ΔDEF.

addition

step-by-step explanation: